摘要
首先介绍了超过程的有关内容 ,然后讨论了双曲空间及欧氏空间上超布朗运动的一些性质 ,得出了超过程的性质不仅与底过程和分支特征有关 ,而且也与底空间 (底过程的状态空间 )的几何结构有着密切的联系。同时还列举了一些未解决的问题。
Following a brief introduction to superproccesses,a discussion is devoted to the properties of super Brownian motions on hyperbolic space.It is revealed that the properties of superprocesses are closely related to underlying process and branching mechanism as well as the geometric structure of the underlying state space.Some open problems are also presented.
出处
《南京邮电学院学报》
2000年第3期89-94,共6页
Journal of Nanjing University of Posts and Telecommunications(Natural Science)
关键词
超过程
底空间
双曲空间
Superprocess
Underlying space
Hyperbolic space